Question

Select the set in which the numbers are related in the same way as are the numbers of the following sets.

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 - Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

(12, 4, 160)

(6, 11, 157)

• A. (6, 15, 90)
• B. (14, 7, 245)
• C. (21, 4, 168)
• D. (9, 15, 90)

Answer 1

Answer:

B. (14, 7, 245)

Find the relation between the numbers:

First set:

$(12,\ 4,\ 160)$
Observe:
$12^2 + 4^2 = 144 + 16 = 160$
Second set:

$(6,\ 11,\ 157)$

Check:
$6^2 + 11^2 = 36 + 121 = 157$

So the relation is:

$a^2+b^2=c$

That means, in the required set, the third number should equal the sum of squares of the first two numbers.

(14, 7, 245)

$14^2+7^2=196+49=245$